1-x-3=2(x-2)+5

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Solution for 1-x-3=2(x-2)+5 equation:


Simplifying
1 + -1x + -3 = 2(x + -2) + 5

Reorder the terms:
1 + -3 + -1x = 2(x + -2) + 5

Combine like terms: 1 + -3 = -2
-2 + -1x = 2(x + -2) + 5

Reorder the terms:
-2 + -1x = 2(-2 + x) + 5
-2 + -1x = (-2 * 2 + x * 2) + 5
-2 + -1x = (-4 + 2x) + 5

Reorder the terms:
-2 + -1x = -4 + 5 + 2x

Combine like terms: -4 + 5 = 1
-2 + -1x = 1 + 2x

Solving
-2 + -1x = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-2 + -1x + -2x = 1 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-2 + -3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -3x = 1 + 0
-2 + -3x = 1

Add '2' to each side of the equation.
-2 + 2 + -3x = 1 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 1 + 2
-3x = 1 + 2

Combine like terms: 1 + 2 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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